Probability-of-failure-based optimization for random PDEs through concentration-of-measure inequalities
DOI10.1051/COCV/2023075MaRDI QIDQ6621509
Jesús Martínez-Frutos, F. Periago, Rogelio Ortigosa-Martínez
Publication date: 18 October 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Numerical methods of relaxation type (49M20)
Cites Work
- Title not available (Why is that?)
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- Greedy controllability of finite dimensional linear systems
- Optimal control with stochastic PDE constraints and uncertain controls
- Averaged control and observation of parameter-depending wave equations
- Averaged controllability of parameter dependent conservative semigroups
- Material interpolation schemes in topology optimization
- Robust averaged control of vibrations for the Bernoulli-Euler beam equation
- A primal-dual algorithm for risk minimization
- Gradient based design optimization under uncertainty via stochastic expansion methods
- Risk-averse structural topology optimization under random fields using stochastic expansion methods
- Averaged control
- Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities
- Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations
- Robust optimal shape design for an elliptic PDE with uncertainty in its input data
- Centering Sequences with Bounded Differences
- Linearization methods for optimization of functionals which depend on probability measures
- Optimal Control of PDEs under Uncertainty
- Buffered Probability of Exceedance: Mathematical Properties and Optimization
- On the Method of Typical Bounded Differences
- Convex Analysis
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Robust optimal Robin boundary control for the transient heat equation with random input data
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